872904 has 32 divisors (see below), whose sum is σ = 2243520. Its totient is φ = 282816.

The previous prime is 872863. The next prime is 872923. The reversal of 872904 is 409278.

It is a super-2 number, since 2×872904² = 1523922786432, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 9² + 2⁷ + 0 + 4⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872904.

It is an unprimeable number.

872904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (70110).

2⁸⁷²⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121760).

872904 is an abundant number, since it is smaller than the sum of its proper divisors (1370616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872904 is a wasteful number, since it uses less digits than its factorization.

872904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 872904 is about 934.2933158275. The cubic root of 872904 is about 95.5701265763.

The spelling of 872904 in words is "eight hundred seventy-two thousand, nine hundred four".